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S_A_V [24]
3 years ago
13

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 d

efense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic self?
Mathematics
1 answer:
Airida [17]3 years ago
3 0
1/15

1/3 chance of getting elf, 1/5 chance of getting magic so the chance of getting both is 1/3x1/5=1/15
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The hexadecimal number is 0xFEE. what will be the octal number of this?
Vikentia [17]

Answer:

0xFEE₁₆ = 7756₈

Step-by-step explanation:

Convert the hexadecimal number to decimal first

0xFEE

E = 14

F = 15

Then convert them to binary

\frac{14}{2}=7

Remainder = 0

\frac{7}{2}=3

Remainder = 1

\frac{3}{2}=1

Quotient = 1

Remainder = 1

\frac{15}{2}=7

Remainder = 1

\frac{7}{2}=3

Remainder = 1

\frac{3}{2}=1

Quotient = 1

Remainder = 1

0           F      E       E

0000  1111 1110  1110

Take groups of three

and multiply with 2^n where n is the place of the digit

111          111   101   110

4,2,1     4,2,1    4,2,1  4,2,1

4+2+1  4+2+1  4+0+1  4+2+0

7756

So, 0xFEE₁₆ = 7756₈

8 0
3 years ago
Please please answer (-2)(-4)(-1)(-7)(1) = and explain
gregori [183]

Answer:

56

Step-by-step explanation:

(-2)(-4)(-1)(-7)(1) =

(8)(-1)(-7)(1) =

(-8)(-7)(1) =

(56)(1) = 56

hope this helps

have a good day

6 0
2 years ago
Families USA, a monthly magazine that discusses issues related to health and health costs, survey 19 of its subscribers. It foun
s344n2d4d5 [400]

Answer:

a

   $10,151   <  \mu  $11448.12

b

  n =  158

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  19

    The  sample mean is  \= x  =$10,800

     The  standard deviation is  \sigma  =$1095  

    The  population mean is  \mu  =$225

     

Given that the confidence level is 99%  the level of significance is mathematically represented as

       \alpha  =  100 -99

      \alpha  = 1%

=>    \alpha =  0.01

Now the critical values of \alpha  = Z_{\frac{\alpha }{2} } is obtained from the normal distribution table as

        Z_{\frac{0.01}{2} } =  2.58

The reason we are obtaining values for \frac{\alpha }{2} is because \alpha is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while \frac{\alpha }{2}  is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

Now the margin of error is obtained as

     MOE  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

    MOE  =  2.58*  \frac{1095 }{\sqrt{19} }

     MOE  =  648.12

The  99% confidence interval for the population mean yearly premium is mathematically represented as

    \= x -MOE  <  \mu <  \= x +MOE

substituting values

   10800 -648.12  <  \mu <  10800 + 648.12

    10800 -648.12  <  \mu <  10800 + 648.12

   $10,151   <  \mu  $11448.12

The  largest sample needed is mathematically evaluated as

      n =  [\frac{Z_{\frac{\alpha }{2}    } *  \sigma }{\mu} ]

substituting values

       n =  [    \frac{ 2.58  *  1095}{225} ]^2

      n =  158

6 0
3 years ago
what is the quotient of 0.457 and 0.12? round to the hundredths place show your work Will.mark brainiest
ExtremeBDS [4]
I stopped the division process once I got to the thousandths place.  0.457 ÷ 0.12 ≈ 3.808.  Rounded to the hundredths place, the answer is 3.81.

3 0
4 years ago
Between which two rational numbers is the square root of 3 located?
viva [34]
The answer would be B, 1.7 and 1.8.
HOPE THIS HELPS! ^_^
4 0
3 years ago
Read 2 more answers
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